If a given point P is in contact with ground initially and wheel of radius R is in pure rolling, then the displacement of point P when point P reaches topmost point of the sphere for the first time will be

Question

If a given point P is in contact with ground initially and wheel of radius R is in pure rolling, then the displacement of point P when point P reaches topmost point of the sphere for the first time will be <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-uj5qkcosqrst.png" /> (A) π R (B) 2 π R (C) (√π2+1) R (D) (√π2+4) R

Tardigrade Admin · Accepted Answer

d=√(π R)2 + (2 R 2)=√(π )2 + 4)R <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-uj5qkcosadwv.png" />

Q. If a given point $P$ is in contact with ground initially and wheel of radius $R$ is in pure rolling, then the displacement of point $P$ when point $P$ reaches topmost point of the sphere for the first time will be

$π R$

$2 π R$

$(π^{2} + 1) R$

$(π^{2} + 4) R$

$d = (π R)^{2} + (2 R^{2}) = (π)^{2} + 4) R$

Q. If a given point P is in contact with ground initially and wheel of radius R is in pure rolling, then the displacement of point P when point P reaches topmost point of the sphere for the first time will be

πR

2πR

(π2+1​)R

(π2+4​)R